7816328100 has 243 divisors, whose sum is σ = 28567677411. Its totient is φ = 1782345600.

The previous prime is 7816328089. The next prime is 7816328101. The reversal of 7816328100 is 18236187.

7816328100 = 1³ + 2³ + ... + 420³.

The square root of 7816328100 is 88410.

It is a perfect power (a square), and thus also a powerful number.

7816328100 is a `hidden beast` number, since 7 + 8 + 1 + 632 + 8 + 10 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4476412836 + 3339915264 = 66906^2 + 57792^2 .

It is a super-2 number, since 2×7816328100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7816328101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 18565890 + ... + 18566310.

Almost surely, 2^7816328100 is an apocalyptic number.

7816328100 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7816328100 is the 88410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7816328100

7816328100 is an abundant number, since it is smaller than the sum of its proper divisors (20751349311).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7816328100 is a wasteful number, since it uses less digits than its factorization.

7816328100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The cubic root of 7816328100 is about 1984.5753543048.

Multiplying 7816328100 by its sum of digits (36), we get a square (281387811600 = 530460²).

7816328100 divided by its sum of digits (36) gives a square (217120225 = 14735²).

The spelling of 7816328100 in words is "seven billion, eight hundred sixteen million, three hundred twenty-eight thousand, one hundred".